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Finding the Fourth Proportional to 21,162, 31,740.41 and 12,282.16

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Solution

The fourth proportional to 21,162, 31,740.41 and 12,282.16 is: 18,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162 : 31,740.41 = 12,282.16 : x
  2. Step 2: Convert to fraction form
    21,162/31,740.41 = 12,282.16/x
  3. Step 3: Cross multiply
    21,162x = 31,740.41 × 12,282.16
  4. Step 4: Simplify right side
    21,162x = 389,840,794.09
  5. Step 5: Solve for x
    x = 389,840,794.09/21,162
  6. Step 6: Final answer
    x = 18,421.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.